A very high-order accurate staggered finite volume scheme for the stationary incompressible Navier-Stokes and Euler equations on unstructured meshes
From MaRDI portal
Publication:2014333
DOI10.1007/s10915-016-0348-9zbMath1432.76174OpenAlexW2571058119MaRDI QIDQ2014333
Gaspar J. Machado, Stéphane Clain, Raphaël Loubère, Ricardo Costa
Publication date: 11 August 2017
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-016-0348-9
Navier-Stokes equationsfinite volume methodEuler equationshigh-order schemefixed-point algorithmpolynomial reconstruction
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Incompressible inviscid fluids (76B99) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items
Very high-order accurate finite volume scheme for the steady-state incompressible Navier-Stokes equations with polygonal meshes on arbitrary curved boundaries, Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized formulations for the Rhie-Chow interpolation
- A 6th order staggered compact finite difference method for the incompressible Navier-Stokes and scalar transport equations
- A new paradigm for solving Navier-Stokes equations: streamfunction-velocity formulation
- Finite-volume compact schemes on staggered grids
- Curvilinear finite-volume schemes using high-order compact interpolation
- Finite volume solvers and moving least-squares approximations for the compressible Navier-Stokes equations on unstructured grids
- Accuracy preserving limiter for the high-order accurate solution of the Euler equations
- Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
- Driven cavity flows by efficient numerical techniques
- Compact finite difference schemes with spectral-like resolution
- Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
- Highly accurate compact implicit methods and boundary conditions
- A new higher-order finite volume method based on moving least squares for the resolution of the incompressible Navier-Stokes equations on unstructured grids
- A sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- A superlinearly convergent finite volume method for the incompressible Navier--Stokes equations on staggered unstructured grids
- A finite volume formulation of compact central schemes on arbitrary structured grids
- Theory and practice of finite elements.
- Simulation of cavity flow by the lattice Boltzmann method
- On a class of Padé finite volume methods
- A sixth-order finite volume method for diffusion problem with curved boundaries
- A very high-order finite volume method for the time-dependent convection-diffusion problem with Butcher tableau extension
- A sixth-order finite volume method for multidomain convection-diffusion problem with discontinuous coefficients
- A staggered grid, high-order accurate method for the incompressible Navier-Stokes equations
- Compact fourth-order finite volume method for numerical solutions of Navier-Stokes equations on staggered grids
- Numerical study of the turbulent flow past an airfoil with trailing edge separation
- Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows
- Surfaces Generated by Moving Least Squares Methods
- Optimized compact finite difference schemes with maximum resolution
- The Multidimensional Optimal Order Detection method in the three‐dimensional case: very high‐order finite volume method for hyperbolic systems
- Accurate projection methods for the incompressible Navier-Stokes equations
- A fourth-order-accurate finite volume compact method for the incompressible Navier-Stokes solutions